On the Birational Geometry of Sextic Threefold Hypersurfaces in \(\mathbb{P}(1,1,2,2,3)\)

IF 0.7 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2026-01-15 DOI:10.1134/S1234567825040068

Yuri Prokhorov

引用次数: 0

Abstract

We investigate birational properties of hypersurfaces of degree \(6\) in the weighted projective space \(\mathbb{P}(1,1,2,2,3)\). In particular, we prove that any such quasi-smooth hypersurface is not rational.

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论六次三重超曲面的双几何 \(\mathbb{P}(1,1,2,2,3)\)

研究了加权射影空间\(\mathbb{P}(1,1,2,2,3)\)中\(6\)次超曲面的双族性质。特别地，我们证明了任何这样的拟光滑超曲面都是非有理的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.